Question

When a parabola represented by the equation y - 2x 2 = 8 x + 5 is translated 3 units to the left and 2 units up, the new parabola has its vertex at

Answer 1

(-2 - 3 , - 3 + 2) = (-5 , -1)

have fun :)))))))))

Answer 2

First rewrite y - 2x 2 = 8 x + 5 as 

y = 2x 2 + 8 x + 5 

Complete square and determine vertex. 

y = 2(x 2 + 4x + 4) - 8 + 5 

= 2(x + 2) 2 - 3 

vertex at (- 2 , - 3) 

If parabola is translated 3 units to the left and 2 units up its vertex is also translated 3 units to the right and 2 units up . 

vertex after translations is at: (-2 - 3 , - 3 + 2) = (-5 , -1)